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Finding the Fourth Proportional to 8,229.75, 12,344.63 and 2,073.75

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Solution

The fourth proportional to 8,229.75, 12,344.63 and 2,073.75 is: 3,110.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,229.75 : 12,344.63 = 2,073.75 : x
  2. Step 2: Convert to fraction form
    8,229.75/12,344.63 = 2,073.75/x
  3. Step 3: Cross multiply
    8,229.75x = 12,344.63 × 2,073.75
  4. Step 4: Simplify right side
    8,229.75x = 25,599,666.09
  5. Step 5: Solve for x
    x = 25,599,666.09/8,229.75
  6. Step 6: Final answer
    x = 3,110.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.